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Finding the Fourth Proportional to 1,541.74, 2,129.16 and 982.46

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Solution

The fourth proportional to 1,541.74, 2,129.16 and 982.46 is: 1,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.74 : 2,129.16 = 982.46 : x
  2. Step 2: Convert to fraction form
    1,541.74/2,129.16 = 982.46/x
  3. Step 3: Cross multiply
    1,541.74x = 2,129.16 × 982.46
  4. Step 4: Simplify right side
    1,541.74x = 2,091,814.53
  5. Step 5: Solve for x
    x = 2,091,814.53/1,541.74
  6. Step 6: Final answer
    x = 1,356.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.